Pension and Other Post Retirement Benefit Plans - Schedule of Change in Combined Fair Value of Plans' Assets (Details) - Pension Plan - USD ($) $ in Thousands	12 Months Ended
	Sep. 27, 2024	Sep. 29, 2023
U.S. Plans
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at the beginning of the year	$ 277,583	$ 286,193
Actual returns (losses) on plan assets	42,523	18,310
Employer contributions	92	85
Participants’ contributions	0	0
Gross benefits paid	(26,370)	(27,005)
Curtailments/settlements/plan amendments	0	0
Effect of exchange rate changes and other, net	0	0
Fair value of plan assets at the end of the year	293,828	277,583
Non-U.S. Plans
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at the beginning of the year	1,243,025	1,297,625
Actual returns (losses) on plan assets	111,948	(103,324)
Employer contributions	23,787	28,991
Participants’ contributions	91	143
Gross benefits paid	(77,447)	(77,070)
Curtailments/settlements/plan amendments	(32,246)	(1,313)
Effect of exchange rate changes and other, net	171,435	97,973
Fair value of plan assets at the end of the year	$ 1,440,593	$ 1,243,025